A certain rocket maintains a horizontal attitude of its axis during the powered phase of its flight at high altitude. The thrust imparts a horizontal component of acceleration of 20 ft/sec2, and the downward acceleration component is the acceleration due to gravity at that altitude, which is g = 30 ft/sec. At the instant represented, the velocity of the mass center G of the rocket along 15o direction of its trajectory is 12,000 mi/hr. For this position, determine the radius of curvature and the rate at which v is increasing.

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Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.